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10344132 = 223319712
BaseRepresentation
bin100111011101…
…011011000100
3201110112111000
4213131123010
510122003012
61005413300
7153631551
oct47353304
921415430
1010344132
115925777
12356a230
1321b23b6
141533a28
15d94ddc
hex9dd6c4

10344132 has 72 divisors (see below), whose sum is σ = 28632800. Its totient is φ = 3220560.

The previous prime is 10344119. The next prime is 10344137. The reversal of 10344132 is 23144301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10344137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145657 + ... + 145727.

Almost surely, 210344132 is an apocalyptic number.

10344132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10344132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14316400).

10344132 is an abundant number, since it is smaller than the sum of its proper divisors (18288668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10344132 is a wasteful number, since it uses less digits than its factorization.

10344132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10344132 is about 3216.2294694253. The cubic root of 10344132 is about 217.8870160543.

Adding to 10344132 its reverse (23144301), we get a palindrome (33488433).

The spelling of 10344132 in words is "ten million, three hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 71 76 108 114 142 171 213 228 284 342 426 513 639 684 852 1026 1278 1349 1917 2052 2556 2698 3834 4047 5041 5396 7668 8094 10082 12141 15123 16188 20164 24282 30246 36423 45369 48564 60492 72846 90738 95779 136107 145692 181476 191558 272214 287337 383116 544428 574674 862011 1149348 1724022 2586033 3448044 5172066 10344132